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Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles

Pozzolini, Cédric and Renard, Yves and Salaün, Michel Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles. (2016) ESAIM: Mathematical Modelling and Numerical Analysis, 50 (6). 1585-1613. ISSN 0764-583X

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Official URL: http://dx.doi.org/10.1051/m2an/2015094

Abstract

Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of vibro-impact of plates between rigid obstacles with non-penetration Signorini’s conditions. To this aim, the dynamical Kirchhoff–Love plate model is considered and an extension to plates of the singular dynamic method, introduced by Renard and previously adapted to beams by Pozzolini and Salaün, is described. A particular emphasis is given in the use of an adapted Newmark scheme in which intervene a discrete restitution coefficient. Finally, various numerical results are presented and energy conservation capabilities of several numerical schemes are investigated and discussed.

Item Type:Article
HAL Id:hal-01662892
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Other partners > Institut National des Sciences Appliquées de Lyon - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université Claude Bernard-Lyon I - UCBL (FRANCE)
Other partners > Université Jean Monnet - St Etienne (FRANCE)
Other partners > Ecole Centrale de Lyon (FRANCE)
Laboratory name:
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Deposited By: Michel Salaun
Deposited On:13 Dec 2017 14:07

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